Answer
$\dfrac{21}{8}$
Work Step by Step
The given expression, $
(120-6^2)\div(4\cdot8)
$, simplifies to
\begin{array}{l}\require{cancel}
(120-36)\div32
\\\\=
84\div32
\\\\=
\dfrac{84}{32}
\\\\=
\dfrac{\cancel{4}\cdot21}{\cancel{4}\cdot8}
\\\\=
\dfrac{21}{8}
.\end{array}